In the diagram to the right, a right circular cone has a diameter of 8 inches and a height of 12 inches.What is the volume of the cone to the nearest cubic inch? A. 201 in3 B. 481 in3 C. 603 in3 D. 804 in3

Respuesta :

Answer:

(A) 201

Step by step explanation :

Volume of a cone is approximately equal to [tex]\boldsymbol{201}[/tex] inches.

So, option A. is correct.

Volume of cone

A cone is a three-dimensional geometric object with a smooth trans-ition from a flat base to the ap-ex or vertex.

Radius of a cone is half of the diameter.

Radius of a cone [tex](r)=\frac{8}{2}[/tex]

                                 [tex]=4[/tex] inches

Height of a cone [tex](h)=12[/tex] inches

Volume of a cone [tex]=\frac{1}{3}\pi r^2 h[/tex]

                              [tex]=\frac{1}{3}(\frac{22}{7} ) (4)^2 (12)[/tex]

                              [tex]\approx 201[/tex] inches

So, volume of a cone is approximately equal to [tex]\boldsymbol{201}[/tex] inches.

So, option A. is correct.

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